Nonlinear Dynamics and Complexity [electronic resource] / edited by Valentin Afraimovich, Albert C. J. Luo, Xilin Fu.

By: Afraimovich, Valentin [editor.]Contributor(s): Luo, Albert C. J [editor.] | Fu, Xilin [editor.] | SpringerLink (Online service)Material type: TextTextLanguage: English Series: Nonlinear Systems and Complexity: 8Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: VIII, 292 p. 117 illus., 42 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319023533Subject(s): Engineering | Physics | Engineering | Complexity | Nonlinear Dynamics | Complex SystemsAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: QA76.9.M35Online resources: Click here to access online
Contents:
From Long Range Order to Complex Networks, an Hamiltonian Dynamics Perspective -- Time-Varying Linearization: Perron Effects of Lyapunov Exponent Sign Inversion, Stability and Instability by the First Approximation -- Fractional Maps as Maps with Memory -- Complex Period- Motion in a Periodically Forced, Quadratic Nonlinear Oscillator -- Map-Based Approach to Problems of Spiking Neural Network Dynamics -- Adaptive Landscape with Singularity in Biological Processes -- Multiscale Scaffolding of Real World Data -- Treasure Hunting in Virtual Environments. Scaling Laws of Human Virtual Motions and Mathematical Models of Human Actions in Uncertainty -- Vibrational Resonance in Time-Delayed Nonlinear Systems -- Experimental Studies of Noise Effects in Nonlinear Oscillators.
In: Springer eBooksSummary: This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.
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From Long Range Order to Complex Networks, an Hamiltonian Dynamics Perspective -- Time-Varying Linearization: Perron Effects of Lyapunov Exponent Sign Inversion, Stability and Instability by the First Approximation -- Fractional Maps as Maps with Memory -- Complex Period- Motion in a Periodically Forced, Quadratic Nonlinear Oscillator -- Map-Based Approach to Problems of Spiking Neural Network Dynamics -- Adaptive Landscape with Singularity in Biological Processes -- Multiscale Scaffolding of Real World Data -- Treasure Hunting in Virtual Environments. Scaling Laws of Human Virtual Motions and Mathematical Models of Human Actions in Uncertainty -- Vibrational Resonance in Time-Delayed Nonlinear Systems -- Experimental Studies of Noise Effects in Nonlinear Oscillators.

This important collection presents recent advances in nonlinear dynamics including analytical solutions, chaos in Hamiltonian systems, time-delay, uncertainty, and bio-network dynamics. Nonlinear Dynamics and Complexity equips readers to appreciate this increasingly main-stream approach to understanding complex phenomena in nonlinear systems as they are examined in a broad array of disciplines. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering.

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